Spinors and Space-Time Anisotropy

Abstract

This is the first monograph on the geometry of anisotropic spinor spaces and its applications in modern physics. The main subjects are the theory of gravity and matter fields in spaces provided with off--diagonal metrics and associated anholonomic frames and nonlinear connection structures, the algebra and geometry of distinguished anisotropic Clifford and spinor spaces, their extension to spaces of higher order anisotropy and the geometry of gravity and gauge theories with anisotropic spinor variables. The book summarizes the authors' results and can be also considered as a pedagogical survey on the mentioned subjects.

Version 3 with new references, 301 pages, latex2e

Cited by in corpus (23)

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• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Clifford-Finsler Algebroids and Nonholonomic Einstein-Dirac Structures
• Finsler-Randers-Sasaki gravity and cosmology
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity
• Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravity
• (Non)Commutative Finsler Geometry from String/M--theory
• Nonholonomic Deformations of Disk Solutions and Algebroid Symmetries in Einstein and Extra Dimension Gravity
• A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity
• Modified Dynamical Supergravity Breaking and Off-Diagonal Super-Higgs Effects
• Noncommutative Finsler Geometry, Gauge Fields and Gravity
• Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
• Part I. The Cosmological Vacuum from a Topological Perspective
• Horizons and Geodesics of Black Ellipsoids with Anholonomic Conformal Symmetries
• Nonlinear Connections on Gerbes, Clifford-Finsler Modules, and the Index Theorems
• Nonlinear Connections and Clifford Structures
• Spinor and Twistor Geometry in Einstein Gravity and Finsler Modifications
• A locally anisotropic geometrical model of space-time based on CMBR
• Nonlinear Connections and Spinor Geometry